calculate-the-product-of-the-1st-and-4th-terms-of-the-sequence-whose-mth-term-is-defined-as-m-1-3-m-2-m-1-

Question Number 125851 by harckinwunmy last updated on 14/Dec/20

calculate the product of the 1 st and 4 th terms

of the sequence whose mth term is defined as

ψ_{m + 1} = (3^{m}) {(- 2)}^{m - 1}

Answered by floor(10²Eta[1]) last updated on 14/Dec/20

m = 0 \Rightarrow ψ_{1} = 3^{0} {(- 2)}^{- 1} = \frac{- 1}{2}

m = 3 \Rightarrow ψ_{4} = 3^{3} {(- 2)}^{2} = 108

ψ_{1} . ψ_{4} = (\frac{- 1}{2}) (108) = - 54